mirror of
https://github.com/arnaucube/ark-curves-cherry-picked.git
synced 2026-01-09 23:41:30 +01:00
Upgrade to work with latest ark-ff (#95)
Co-authored-by: Sun <huachuang20@gmail.com>
This commit is contained in:
28
ed_on_bls12_377/scripts/base_field.sage
Normal file
28
ed_on_bls12_377/scripts/base_field.sage
Normal file
@@ -0,0 +1,28 @@
|
||||
modulus = 8444461749428370424248824938781546531375899335154063827935233455917409239041
|
||||
|
||||
assert(modulus.is_prime())
|
||||
|
||||
Fp = GF(modulus)
|
||||
|
||||
generator = Fp(0);
|
||||
for i in range(0, 30):
|
||||
i = Fp(i);
|
||||
neg_i = Fp(-i)
|
||||
if not(i.is_primitive_root() or neg_i.is_primitive_root()):
|
||||
continue
|
||||
elif i.is_primitive_root():
|
||||
assert(i.is_primitive_root());
|
||||
print("Generator: %d" % i)
|
||||
generator = i
|
||||
break
|
||||
else:
|
||||
assert(neg_i.is_primitive_root());
|
||||
print("Generator: %d" % neg_i)
|
||||
generator = neg_i
|
||||
break
|
||||
|
||||
|
||||
two_adicity = valuation(modulus - 1, 2);
|
||||
trace = (modulus - 1) / 2**two_adicity;
|
||||
two_adic_root_of_unity = generator^trace
|
||||
print("2-adic Root of Unity: %d " % two_adic_root_of_unity)
|
||||
28
ed_on_bls12_377/scripts/scalar_field.sage
Normal file
28
ed_on_bls12_377/scripts/scalar_field.sage
Normal file
@@ -0,0 +1,28 @@
|
||||
modulus = 2111115437357092606062206234695386632838870926408408195193685246394721360383
|
||||
|
||||
assert(modulus.is_prime())
|
||||
|
||||
Fp = GF(modulus)
|
||||
|
||||
generator = Fp(0);
|
||||
for i in range(0, 30):
|
||||
i = Fp(i);
|
||||
neg_i = Fp(-i)
|
||||
if not(i.is_primitive_root() or neg_i.is_primitive_root()):
|
||||
continue
|
||||
elif i.is_primitive_root():
|
||||
assert(i.is_primitive_root());
|
||||
print("Generator: %d" % i)
|
||||
generator = i
|
||||
break
|
||||
else:
|
||||
assert(neg_i.is_primitive_root());
|
||||
print("Generator: %d" % neg_i)
|
||||
generator = neg_i
|
||||
break
|
||||
|
||||
|
||||
two_adicity = valuation(modulus - 1, 2);
|
||||
trace = (modulus - 1) / 2**two_adicity;
|
||||
two_adic_root_of_unity = generator^trace
|
||||
print("2-adic Root of Unity: %d " % two_adic_root_of_unity)
|
||||
Reference in New Issue
Block a user